Mixed finite element method for diffusion equations on polygonal meshes with mixed cells

Journal of Numerical Mathematics

Volumn 14, Issue 4, 2006, Pages 305-315

  Kuznetsov, Yu A ^a,b  

^a University of Houston   (United States)

^b INSTITUTE OF NUMERICAL MATHEMATICS   (Russian Federation)

Author keywords

Diffusion equation; Mixed cells; Mixed finite element method; Polygonal meshes

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; DEGREES OF FREEDOM (MECHANICS); TOPOLOGY;

DIFFUSION EQUATION; MIXED CELLS; MIXED FINITE ELEMENT METHOD; POLYGONAL MESHES;

FINITE ELEMENT METHOD;

EID: 33846251986     PISSN: 15702820     EISSN: None     Source Type: Journal    
DOI: 10.1163/156939506779874617     Document Type: Article

References (5)

1. F.Brezzi and M. Fortin, Mixed and Hybrid Finite Element Methods. Springer Verlag, Berlin, 1991.
2. Yu. Kuznetsov, K. Lipnikov, and M. Shashkov, The mimetic finite difference method on polygonal meshes for diffusion-type equations. Comp. Geosciences (2004) 8, 301-324.
3. Yu. Kuznetsov and S. Repin, New mixed finite element method on polygonal and polyhedral meshes. Russ. J. Numer. Anal. Math. Modelling (2003) 18, No. 3, 261-278.
4. Yu. Kuznetsov and S. Repin, Convergence analysis and error estimates for mixed finite element method on distorted meshes. J. Numer. Math. (2005) 13, No. 1, 33-51.
5. J. E. Roberts and J.-M. Thomas, Mixed and hybrid methods. In: Handbook of Numerical Analysis, Vol.2 (Eds. P.-G.Ciarlet and J.-L.Lions). Elsevier Sci. Publishers, Amsterdam, 1991, pp. 523-639.